On the and Transformations
- 1 October 1980
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 32 (5) , 1021-1044
- https://doi.org/10.4153/cjm-1980-079-4
Abstract
Denote by C0 the collection of complex-valued functions which are continuous and compactly supported on (0, ∞). The transformations of the title are defined on C0 by 1.1 and 1.2 respectively, where Yv(x) is the Bessel function of the second kind, and Hv(x) is the Struve function; see [1; 7.5.4(55)]. The two transformations are studied briefly in [6; §8.4]; tables of transform pairs are given in [2; Chapters IX and XI], where it is also stated that, for – , each of the transformations is the inverse of the other.Keywords
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